a) E(X)= ∫2232∫2232 kx(x2+y2) dx dy = | 27.3052 | =E(Y) | |||
E(X2)= ∫2232∫2232 kx2(x2+y2) dx dy = | 753.8493 | ||||
Var(X)=E(X2)-(E(X))2 = | 8.2779 | =VAR(Y) | |||
E(XY)= ∫2232∫2232 kxy(x2+y2) dx dy = | 745.4783 | ||||
a) therefore Cov(X,Y)=E(XY)-E(X)*E(Y)= | -0.0931 | ||||
b) and correlation coefficient ρ =Cov(X,Y)/(σx*σy)= | -0.0112 |
Please solve a and b Each front tire on a particular type of vehicle is supposed...
Each front tire on a particular type of vehicle is supposed to be filled to a pressure of 26 psi. Suppose the actual air pressure in each tire is a random variable-X for the right tire and Y for the left tire, with joint pdf given below. K(x2 + y2) 225 x otherwise 32, 22 y 32 f(x, y) = (a) Compute the covariance between X and Y. (Round your answer to four decimal places.) Cov(X, Y) = (b) Compute...
Each front tire on a particular type of vehicle is supposed to be filled to a pressure of 26 psi. Suppose the actual air pressure in each tire is a random variable-X for the right tire and Y for the left tire, with joint pdf given below. f(x, y) = K[x2 + y2) 21 sxs 32, 21 sy s 32 F(x,y) otherwise (a) Compute the covariance between X and Y. (Round your answer to four decimal places.) Cov(X,Y)= (b) Compute...
Each front tire on a particular type of vehicle is supposed to be filled to a pressure of 26 psi. Suppose the actual air pressure in each tire is a random variable-X for the right tire and Y for the left tire, with joint pdf given below K(x2 y2 22 x 31, 22 < y s 31 f(x, у) %3D otherwise (a) Compute the covariance between X and Y. (Round your answer to four decimal places.) Cov(X, Y) (b) Compute...
Each front tire on a particular type of vehicle is supposed to be filled to a pressure of 26 psi. Suppose the actual air pressure in each tire is a random variable-X for the right tire and Y for the left tire, with joint pdf given below. f(x, y) = R(x2 + y2) " 20 SX 530, 20 Sy s 30 O otherwise (a) Compute the covariance between X and Y. (Round your answer to four decimal places.) Cov(x, y)...
Each front tire on a particular type of vehicle i tire, with joint pdf given below. supposed to be filled to a pressure of 26 psi. Suppose the actual air pressure in each tire is a random variable-X for the right tire and Y for the left tire, with joint pdf given below. (a) Compute the covariance between and Y. (Round your answer to four decimal places.) (b) Compute the correlation coefficient p for this X and Y. (Round your answer to...
Each front tire on a particular type of vehicle is supposed to be led to a pressure of 26 psl. Suppose the actual pressure in each tire is a random variable for the right tire and for the late with joint pdf given below 22 SXS 32,22 y 32 otherwise (a) Compute the covariance between X and Yound your answer to four decimal place) Cowy (1) Compute the correlation coeficient p for this X and Y. (Hound your answer to...
Each front tire on a particular type of vehicle is supposed to be filled to a pressure of 26 psi. Suppose the actual air pressure in each tire is a random variable X for the nght tire and Y for the left tire, with joint pdf as follows. otherwise (a) What is the value of K? (Give answer accurate to 2 decimal places.) 7.88 x 10-6 (b) What is the probability that both tires are underfilled? (Give answer accurate to...
Each front tire on a particular type of vehicle is supposed to be filled to a pressure of 28 psi. Suppose the actual air pressure in each tire is a random variable-X for the right tire and Y for the left tire, with joint pdf f(x,y) = K[x2 + y2) 20 SX < 30, 20 Sy s 30 10 otherwise (c) What is the probability that the difference in air pressure between the two tires is at most 2 psi?...
statistics and probability Each front tire on certain type of vehicle is supposed to be filled to a pressure of 26 psi. If the actual air pressure in each tire is a random variable and X is referred to as the right tire and Y as the left tire, with a joint pdf SK(x2 + y2) 20 SX 30,20 Sys 30 otherwise f(x,y) = 0 Where K = 2000 and for all parts require detailed calculations. a. Determine the (marginal)...
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